Research

List of Papers and Research Projects

An SDE Framework for Adversarial Training, with Convergence and Robustness Analysis

Haotian Gu, Xin Guo. Submitted to ICML 2021.

Q-Learning for Mean-Field Controls with Convergence and Complexity Analysis

Haotian Gu, Xin Guo, Xiaoli Wei, Renyuan Xu. Submitted to SIAM Journal on Mathematics of Data Science. Short Version Accepted by Workshop on Theoretical Foundations of Reinforcement Learning, ICML 2020.

Dynamic programming principles for learning Mean-field controls

Haotian Gu, Xin Guo, Xiaoli Wei, Renyuan Xu. Submitted to Operation Research.

Error Estimates for a POD Method for Solving Viscous G-equations in Incompressible Cellular Flows

Haotian Gu, Jack Xin, Zhiwen Zhang.Accepted by SIAM Journal on Scientific Computing.

Analysis on Hybrid Fractals

Patricia Alonso-Ruiz, Yuming Chen, Haotian Gu, Robert Strichartz, Ziri Zhou.Accepted by Communications on Pure & Applied Analysis.

On Metrics and Curvatures on Complex Manifolds

2017.9 - 2017.12, Undergraduate Research ProgramSupervisor: Prof. Ngaiming Mok @ HKU